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Elements of microstructural mechanics

  • Jacques BessonEmail author
  • Georges Cailletaud
  • Jean-Louis Chaboche
  • Samuel Forest
  • Marc Blétry
  • G. M. L. Gladwell
Chapter
  • 2.7k Downloads
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 167)

Abstract

Microstructural mechanics aims at determining the impact of the microstructure of materials on the effective properties and the local fields in heterogeneous materials. Homogenization techniques are designed to derive overall linear and non-linear properties of materials from the knowledge of the properties of individual phases and their arrangement in space. The notion of Representative Volume Element is defined and its size is estimated in the case of random materials. The limits of homogenization are explored when the characteristic wave length of mean field variation becomes close to the size of heterogeneities.

Keywords

Yield Surface Representative Volume Element Heterogeneous Material Effective Property Cosserat Continuum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Jacques Besson
    • 1
    Email author
  • Georges Cailletaud
    • 1
  • Jean-Louis Chaboche
    • 2
  • Samuel Forest
    • 1
  • Marc Blétry
    • 3
  • G. M. L. Gladwell
    • 4
  1. 1.Centre des Matériaux CNRS UMR 7633MINES ParisTechEvry CedexFrance
  2. 2.Dépt. Matériaux et Structures MétalliqueOffice National d’Études et de Recherches Aérospatiales (ONERA)Chatillon CXFrance
  3. 3.Institut de Chimie et des Matériaux Paris-Est CNRS UMR 7182Université Paris XIIThiaisFrance
  4. 4.Department of Civil EngineeringUniversity of WaterlooWaterlooCanada

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